Formula Used
Final concentration after mixing
Cfinal = (C1V1 + C2V2 + C3V3 + ... + CnVn) / (V1 + V2 + V3 + ... + Vn)
Each concentration is multiplied by its matching volume. All weighted values are added. The total is divided by total final volume.
Two-solution target planning
Vhigh = ((Ctarget - Clow) / (Chigh - Clow)) × Vtotal
The remaining volume is the low-strength liquid or solvent.
Dilution formula
C1V1 = C2V2
V1 = (C2 × V2) / C1
How to Use This Calculator
- Select the concentration unit used by your problem.
- Enter concentration and volume for each solution.
- Add pure solvent volume when needed.
- Enter an optional target concentration for comparison.
- Use the target planning panel for reverse mixture problems.
- Use the dilution panel for stock-to-target dilution problems.
- Press the calculate button.
- Review the result, graph, CSV file, or PDF report.
Example Data Table
| Item | Concentration | Volume | Weighted value |
|---|---|---|---|
| Solution A | 30% | 200 mL | 6000 |
| Solution B | 10% | 300 mL | 3000 |
| Pure solvent | 0% | 100 mL | 0 |
| Total | 15% | 600 mL | 9000 / 600 |
Concentration Mixing Guide
What concentration mixing means
Concentration mixing is a common math task in laboratories, classrooms, kitchens, and product testing. It answers one main question. What strength will a final blend have after two or more liquids are combined? The answer comes from weighted averages. A strong solution contributes more solute. A larger volume also contributes more solute. Both values matter together.
Why weighted averages matter
This calculator helps you test those ideas quickly. Enter each solution concentration. Then enter its volume. Add pure solvent when dilution is part of the mixture. The tool converts all volumes to one base unit before calculating. That keeps liters, milliliters, gallons, and fluid ounces consistent. The final concentration is then shown in the same concentration unit you selected.
Using target concentration planning
The planning panel is useful when you need a target concentration. It solves the two-solution mixture formula. You can mix a strong stock with a weaker liquid or solvent. The calculator checks whether the target sits between both concentrations. If it does, it returns the required volumes. If it does not, the target cannot be reached by simple mixing.
Using dilution calculations
The dilution panel uses the classic relation C1V1 equals C2V2. This is helpful when a stock solution must be diluted to a lower strength. The result shows the stock volume needed. It also shows how much solvent to add.
Reading the graph
Use the graph to review your mixture visually. The bars compare the entered volumes. The line compares each concentration. A large low-strength volume can pull the final concentration down. A small high-strength volume can raise it sharply.
Important limits
Always use the same concentration meaning across all rows. Do not mix percent, molarity, and ppm in one calculation unless they were converted first. Real chemistry may need density, temperature, activity, or purity corrections. This calculator focuses on arithmetic mixing. It is best for math practice, quick estimates, teaching examples, and simple solution planning. The example table gives ready values to compare. Change them to test classroom problems. Export the result when you need a record. The CSV file works in spreadsheets. The PDF report is useful for notes, homework, and client summaries. Save each calculation before sharing results. Review units before copying values into reports today.
FAQs
1. What does this calculator find?
It finds the final concentration after mixing solutions. It also solves target planning and stock dilution problems.
2. Can I mix liters and milliliters?
Yes. Enter each volume with its own unit. The calculator converts all volumes before applying the formula.
3. Can I add pure solvent?
Yes. Use the pure solvent row. It adds volume with zero concentration, so the final mixture becomes weaker.
4. What is the weighted concentration sum?
It is the sum of each concentration multiplied by its volume. Dividing this sum by total volume gives final concentration.
5. Why must concentration units match?
The weighted average only works when every concentration means the same thing. Convert units first if your data uses different systems.
6. What does target planning do?
It calculates how much high-strength and low-strength solution you need to reach a chosen final concentration and volume.
7. What does the dilution panel do?
It uses C1V1 equals C2V2. It finds the stock volume and solvent volume needed for a lower concentration.
8. Is this suitable for lab safety decisions?
Use it for math and estimates. For lab safety, verify density, purity, temperature effects, and official handling rules.